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Finding the Fourth Proportional to 538,394.64, 743,009.64 and 312,111.12

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Solution

The fourth proportional to 538,394.64, 743,009.64 and 312,111.12 is: 430,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,394.64 : 743,009.64 = 312,111.12 : x
  2. Step 2: Convert to fraction form
    538,394.64/743,009.64 = 312,111.12/x
  3. Step 3: Cross multiply
    538,394.64x = 743,009.64 × 312,111.12
  4. Step 4: Simplify right side
    538,394.64x = 231,901,570,911.20
  5. Step 5: Solve for x
    x = 231,901,570,911.20/538,394.64
  6. Step 6: Final answer
    x = 430,727.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.